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864162432 = 273973

864162432 has 320 divisors, whose sum is σ = 3011448000. Its totient is φ = 246903552.

The previous prime is 864162407. The next prime is 864162457. The reversal of 864162432 is 234261468.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

864162432 is a `hidden beast` number, since 8 + 64 + 162 + 432 = 666.

It is an interprime number because it is at equal distance from previous prime (864162407) and next prime (864162457).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (55296) is a multiple of the sum of its prime divisors (12).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 123451773 + ... + 123451779.

It is an arithmetic number, because the mean of its divisors is an integer number (9410775).

Almost surely, 2864162432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 864162432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505724000).

864162432 is an abundant number, since it is smaller than the sum of its proper divisors (2147285568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

864162432 is an frugal number, since it uses more digits than its factorization.

864162432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 12 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 864162432 is about 29396.6398079781. The cubic root of 864162432 is about 952.5003137205.

Multiplying 864162432 by its product of digits (55296), we get a cube (47784725839872 = 362883).

The spelling of 864162432 in words is "eight hundred sixty-four million, one hundred sixty-two thousand, four hundred thirty-two".